Standing waves for quasilinear Schrödinger equations involving double exponential growth

Research output: Contribution to journalArticlepeer-review


We will focus on the existence of nontrivial, nonnegative solutions to the following quasilinear Schrödinger equation where B1 denotes the unit ball centered at the origin in R2 and g behaves like exp(es4) as s tends to infinity, the growth of the nonlinearity is motivated by a Trudinder-Moser inequality version, which admits double exponential growth. The proof involves a change of variable (a dual approach) combined with the mountain pass theorem.

Original languageEnglish
Pages (from-to)1682-1695
Number of pages14
JournalAIMS Mathematics
Issue number1
StatePublished - 2023

Bibliographical note

Funding Information:
The author would like to thank the anonymous referees for very careful reading of the manuscript and helpful comments. This work was financed by CONCYTEC-PROCIENCIA within the call for proposal “Proyecto de Investigación Básica 2019-01[Contract Number 410-2019]” .

Publisher Copyright:
© 2023, American Institute of Mathematical Sciences. All rights reserved.


  • Trudinger-Moser inequality
  • double exponential growth
  • dual approach
  • mountain pass theorem
  • quasilinear Schrödinger equation


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